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Digital Arithmetic
book

Digital Arithmetic

by Miloš D. Ercegovac, Tomás Lang
September 2003
Intermediate to advanced content levelIntermediate to advanced
709 pages
26h 51m
English
Morgan Kaufmann
Content preview from Digital Arithmetic
Quotient-Digit Selection Function
285
Moreover, to satisfy the continuity condition, it is necessary to selectqj+l - k - 1
for
r w [j ] -- s k -- ulp.
Consequently,
S k - ulp < Uk_l
5.60
Since
U k
> Uk_l
Jr- ulp,
the combined restriction on Sk is
Lk < S k
< Uk_l
.qt_ ulp
5.61
For simplicity, in some cases, we use the more conservative bound
L k < s k < Uk_ 1
5.62
Consequently, the values s k have to be inside the overlap between consecutive
selection intervals, as shown in Figure 5.17. This is the basic condition required
by the quotient-digit selection functions we describe later.
The subscript k - 1 for U, in contrast ...
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Publisher Resources

ISBN: 9781558607989